SOLUTION: The sum of the square of a positive number and the square of 3 more than the number is 65. What is the number?

Algebra.Com
Question 945127: The sum of the square of a positive number and the square of 3 more than the number is 65. What is the number?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
Let x be the positive number


Subtract 65 from each side
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=484 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4, -7. Here's your graph:

ANSWERS 4,-7 The number is restricted to positive numbers so the answer is 4.
CHECK:



65=65
RELATED QUESTIONS

the sum of the square of a positive number and the square of 3 more than the number is... (answered by mananth)
The sum of the square of a positive number and the square of 3 more than the number is... (answered by Alan3354)
The sum of a square of a positive number and the square of 3 more than a number is 45.... (answered by t0hierry,macston)
the sum of the square of a positive number and the square of 5 more than the number is... (answered by ReadingBoosters)
the sum of the square of a positive number and the square of 2 more than the number is... (answered by fractalier)
The sum of the square of a positive number and the square of 4 more than the number is 58 (answered by ptaylor)
the sum of the square of a positive number and the square of 4 more than the number is... (answered by mananth)
The sum of the square of a positive number and the square of 4 more than 106. What is the (answered by ikleyn)
If half the difference between the square of a certain positive number and the number is... (answered by ankor@dixie-net.com)